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Disentangled Quantum Operation on Majorana Qubits in Qubit Chains
Journal of Experimental and Theoretical Physics. 2019. Vol. 129. No. 4. P. 733–737.
We consider quantum logical gates on Majorana qubits implemented in chain structures of ordinary qubits, spins, or pseudospins. We demonstrate that one can implement a two-qubit operation via local manipulations, using an extra coupler spin in a T-junction geometry, so that this coupler spin remains disentangled from the qubit. Furthermore, we identify a set of symmetry operations, which not only allow us to determine the resulting two-qubit gate, but also to demonstrate robustness of the resulting gate to inaccuracies in the manipulations, known for topological quantum computation.
Publication based on the results of:
Dmitriev A., Kornilov V., Batienkov R., Lecture Notes in Civil Engineering 2026 Vol. 886 P. 249–255
Numerous studies have provided compelling evidence that the probability distribution of avalanche sizes follows a power law, and that 1/f noise is present in the stochastic dynamics of landslides. We present a theoretical explanation of these phenomena within the framework of self-organized criticality theory, proposing a discrete-time model in the form of a sandpile cellular ...
Added: October 13, 2026
Dmitriev A., Shulman I., Lebedev A., Studies in Computational Intelligence 2026 Vol. 1265 P. 266–273
A discrete-time model is presented for the self-organization of the X/Twitter social network to the edge of a phase transition, characterized by avalanche-like propagation of information in the network. The model is based on the analogy between the critical dynamics of the X social network and sandpile cellular automata with Manna rule on the Chung-Lu ...
Added: October 13, 2026
Arutyunov K., Kharitonov I. A., Petrosyants K. O., JETP Letters 2026 Vol. 124 No. 6 P. 1–16
Superconducting properties of metallic micro- and nanowires can be entirely different from those of bulk superconductors. Of particular interest is the nonequilibrium current-induced state of a quasi-one-dimensional superconducting channel. The most interesting phenomenon here is the stepped I–V characteristic, explained by a process known as phase slip center activation. If the origin of such step-like ...
Added: October 13, 2026
Makarov D. M., Kalikin N., Fashchevsky K. A. et al., Electrochimica Acta 2026 Vol. 579 Article 150159
Machine learning (ML) has become a powerful tool for accelerating the development of carbon-based supercapacitors;
however, most published models assume that a single predictive framework can describe both conventional
porous carbons and hybrid carbon electrodes. Here, we test this assumption using a comprehensive
benchmark dataset and an extended literature-curated dataset enriched with synthesis- and electrolyte-related
descriptors. Three ML algorithms ...
Added: October 13, 2026
Махлуф М., Ozhegov R., Elezov M. et al., Фотоника 2026 Vol. 20 No. 6 P. 414–423
This paper compares the ranging precision of direct time-of-flight (dToF) and non-line-of-sight (NLOS) LiDAR architectures, both using a superconducting nanowire single-photon detector (SNSPD). Both systems operate at 1550 nm with a 50 ps pulsed laser and time-correlated single-photon counting (TCSPC). The dToF configuration achieved approximately 100 µm precision at 10 m, while the NLOS configuration achieved 500 µm precision for ...
Added: October 12, 2026
Singapore: Springer, 2026.
This volume presents the Proceedings of the 34th IUPAP Conference on Computational Physics (CCP2023), held in Kobe, Japan on August 4–8, 2023. It offers a collection of peer-reviewed articles that highlight recent developments in computational and simulation research across various areas of physics. Key topics include the use of data science, quantum computing, and machine ...
Added: October 12, 2026
Goncharov A., Chibisov A., Advanced Theory and Simulations 2023 Vol. 12 No. 13 Article 2200816
Designing stable quantum computers with the ability to correct errors responsibly requires a detailed understanding of the physical processes that underlie these devices. In this study, detailed quantum mechanical simulations of the atomic structure, charge distribution of electron density, and distribution and orientation of magnetic and quantum states as a function of applied external pressure ...
Added: October 11, 2026
Chibisov A., Gnidenko A., Chibisova M. et al., FlatChem 2023 Vol. 41 Article 100533
Manufacturing precise quantum computers with small errors in quantum operations, long coherence times, and low power consumption is the most important challenge in modern nanoelectronics. To understand the operating modes of such calculators in detail, both the optimal arrangement of the qubit system within the structure and changes in its magnetic properties must be comprehensively ...
Added: October 11, 2026
Timoshuk I., Makhlin Y., Journal of Low Temperature Physics 2024 Vol. 217 P. 167–186
Superconducting heterostructures can host subgap states known as Andreev bound states. In topological superconducting systems, novel zero-energy Andreev states were discovered known as Majorana zero modes. Local Majorana zero modes serve as basic ingredients of topological quantum computations. To simplify manipulations, one can use chiral Majorana-fermion edge transport in gapped two-dimensional systems. Here we demonstrate ...
Added: May 7, 2024
Ilya S., Grigoriy M., Moskalenko I. et al., Physical Review Applied 2024 Vol. 21 No. 4 P. 0
The Toffoli gate takes a special place in the quantum information theory. It opens up a path for efficient
implementation of complex quantum algorithms. Despite tremendous progress of the quantum processors
based on the superconducting qubits, realization of a high-fidelity three-qubit operation is still a challenging
problem. Here, we propose a way to perform a high-fidelity CCZ gate ...
Added: April 24, 2024
Bastrakova M. V., Klenov N. V., A. M. Satanin, Journal of Experimental and Theoretical Physics 2020 Vol. 131 No. 4 P. 507–519
© 2020, Pleiades Publishing, Inc.Abstract: The conventional technique for controlling the states of individual qubits and quantum registers is based on the use of high-frequency modulated pulses whose carrier frequency is close to the transition frequency between the ground states of “artificial atoms” and “molecules” (the Rabi technique). In this paper, an alternative concept for ...
Added: October 26, 2022
Shapiro D. S., Pogosov W. V., Lozovik Y., Physical Review A: Atomic, Molecular, and Optical physics 2020 Vol. 102 No. 2 Article 023703
In view of recent proposals for the realization of anisotropic light-matter interaction in such platforms as (i) nonstationary or inductively and capacitively coupled superconducting qubits, (ii) atoms in crossed fields, and (iii) semiconductor heterostructures with spin-orbital interaction, the concept of a generalized Dicke model, where coupling strengths of rotating wave and counter-rotating wave terms are ...
Added: October 31, 2021
Bastrakova M. V., Klenov N. V., A. M. Satanin, Journal of Physics: Conference Series 2019 Vol. 1163 Article 012076
A numerical method of simulations for the evolution operators (propagators) of coupled qubits was developed on the basis of Magnus representation. The propagator of a multi-qubit system can be expressed by a N × N matrix whose size increases as N = 2^n with the number of qubits n . Therefore, the standard approach to ...
Added: February 26, 2020
Dmitriy S. Shapiro, Lozovik Y., Погосов В. В. et al., Physical Review A: Atomic, Molecular, and Optical physics 2019 Vol. 99 No. 6 P. 063821
The analysis of single-mode photon fluctuations and their counting statistics at the superradiant phase transition is presented. The study concerns the equilibrium Dicke model in a regime where the Rabi frequency, related to a coupling of the photon mode with a finite-number qubit environment, plays the role of the transition's control parameter. We use the ...
Added: November 25, 2019
Денисенко М. В., Кленов Н. В., Satanin A., Журнал экспериментальной и теоретической физики 2019 Т. 155 № 2 С. 258–276
Обсуждается задача об ускорении квантовых вычислений путем управления состояниями кубитов короткими униполярными импульсами с большой амплитудой. Предложен новый метод описания динамики кубитов, основанный на представлении Магнуса для оператора эволюции (пропагатора) кубитов, которое позволяет найти решение задачи квантового контроля вне рамок теории возмущений. Эволюция состояний многокубитной системы представлена как движение на специальной унитарной группе SU(N), подобное ...
Added: February 21, 2019
Mäkinen J. T., Dmitriev V. V., Nissinen J. et al., Nature Communications 2019 Vol. 10 P. 237-1–237-8
Symmetries of the physical world have guided formulation of fundamental laws, including relativistic quantum field theory and understanding of possible states of matter. Topological defects (TDs) often control the universal behavior of macroscopic quantum systems, while topology and broken symmetries determine allowed TDs. Taking advantage of the symmetry-breaking patterns in the phase diagram of nanoconfined ...
Added: January 22, 2019
Pino M., Tsvelik A. M., Ioffe L., Physical Review Letters 2015 Vol. 115 P. 197001
Added: October 21, 2016